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LogCorrelatedFields SIGNED

Extremes in logarithmically correlated fields

Total Cost €

EC-Contrib. €

Partnership

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LogCorrelatedFields project word cloud

Explore the words cloud of the LogCorrelatedFields project. It provides you a very rough idea of what is the project "LogCorrelatedFields" about.

examples random made close walk discrete landau building uncovered applicable maximum absolute gaussian polynomial walks tools setups branching cover chaos builds refined progress introduction dimensional flexible points theory multiplicative comparisons left ginzburg models deals times version matrices moment extremes torus extremal logarithmically time correlated free

Project "LogCorrelatedFields" data sheet

The following table provides information about the project.

Coordinator	WEIZMANN INSTITUTE OF SCIENCE Organization address address: HERZL STREET 234 city: REHOVOT postcode: 7610001 website: www.weizmann.ac.il contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.
Coordinator Country	Israel [IL]
Total cost	1˙292˙500 €
EC max contribution	1˙292˙500 € (100%)
Programme	1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC))
Code Call	ERC-2015-AdG
Funding Scheme	ERC-ADG
Starting year	2016
Duration (year-month-day)	from 2016-06-01 to 2021-12-31

Partnership

Take a look of project's partnership.

#	participants	country	role	EC contrib. [€]
1	WEIZMANN INSTITUTE OF SCIENCE WEIZMANN INSTITUTE OF SCIENCE Organization address address: HERZL STREET 234 city: REHOVOT postcode: 7610001 website: www.weizmann.ac.il contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	IL (REHOVOT)	coordinator	1˙292˙500.00

Map

Project objective

The proposed research deals with the extremes of logarithmically correlated fields, in both the Gaussian and non-Gaussian setups. Examples of such fields are branching random walks, the (discrete) two dimensional Gaussian free field, the set of points left uncovered by a random walk on the two dimensional torus at times close to the cover time of the torus, the (absolute) values of the characteristic polynomial of random matrices, Ginzburg-Landau models, and more. The proposal builds on recent progress in the study of the maximum and of the extremal process of the two dimensional Gaussian free field, which was made possible by Gaussian comparisons and the introduction of a refined version of the second moment method. The proposed research will develop the tools needed for building a general and flexible theory applicable to general logarithmically correlated fields. Applications to the multiplicative chaos will also be considered.

Publications

List of publications.
year	authors and title	journal	last update
2020	Alexander Dunlap, Yu Gu, Lenya Ryzhik, Ofer Zeitouni Fluctuations of the solutions to the KPZ equation in dimensions three and higher published pages: , ISSN: 0178-8051, DOI: 10.1007/s00440-019-00938-w	Probability Theory and Related Fields	2020-01-29
2020	David Belius, Jay Rosen, Ofer Zeitouni Tightness for the cover time of the two dimensional sphere published pages: , ISSN: 0178-8051, DOI: 10.1007/s00440-019-00940-2	Probability Theory and Related Fields	2020-01-29
2019	GÃ©rard Ben Arous, Eliran Subag, Ofer Zeitouni Geometry and Temperature Chaos in Mixed Spherical Spin Glasses at Low Temperature: The Perturbative Regime published pages: , ISSN: 0010-3640, DOI: 10.1002/cpa.21875	Communications on Pure and Applied Mathematics	2020-01-29
2018	Mira Shamis, Ofer Zeitouni The Curieâ€“Weiss model with Complex Temperature: Phase Transitions published pages: 569-591, ISSN: 0022-4715, DOI: 10.1007/s10955-017-1812-0	Journal of Statistical Physics 172/2	2019-06-14
2018	Florent Benaych-Georges, Ofer Zeitouni Eigenvectors of non normal random matrices published pages: , ISSN: 1083-589X, DOI: 10.1214/18-ecp171	Electronic Communications in Probability 23/0	2019-06-05
2018	Yu Gu, Lenya Ryzhik, Ofer Zeitouni The Edwardsâ€“Wilkinson Limit of the Random Heat Equation in Dimensions Three and Higher published pages: 351-388, ISSN: 0010-3616, DOI: 10.1007/s00220-018-3202-0	Communications in Mathematical Physics 363/2	2019-06-05
2019	Gaultier Lambert, Elliot Paquette The law of large numbers for the maximum of almost Gaussian log-correlated fields coming from random matrices published pages: 157-209, ISSN: 0178-8051, DOI: 10.1007/s00440-018-0832-2	Probability Theory and Related Fields 173/1-2	2019-09-04
2019	Wei Wu, Ofer Zeitouni Subsequential tightness of the maximum of two dimensional Ginzburg-Landau fields published pages: , ISSN: 1083-589X, DOI: 10.1214/19-ecp215	Electronic Communications in Probability 24/0	2019-09-04
2019	Jian Ding, Ofer Zeitouni, Fuxi Zhang Heat Kernel for Liouville Brownian Motion and Liouville Graph Distance published pages: , ISSN: 0010-3616, DOI: 10.1007/s00220-019-03467-8	Communications in Mathematical Physics	2019-09-04
2019	David Belius, Jay Rosen, Ofer Zeitouni Barrier estimates for a critical Galtonâ€“Watson process and the cover time of the binary tree published pages: 127-154, ISSN: 0246-0203, DOI: 10.1214/17-aihp878	Annales de l\'Institut Henri PoincarÃ©, ProbabilitÃ©s et Statistiques 55/1	2019-09-04

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